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Solve the linear equation below. Show ALL your work AND explain the type of solution you found!

8 - 2(4v + 6) = - 4 - 8v

Respuesta :

Answer:

See below ~

Step-by-step explanation:

  • 8 - 2(4v + 6) = -4 - 8v
  • 8 - 8v - 12 = -4 - 8v
  • -8v - 4 = -4 - 8v
  • On placing any value for v, they will be equal
  • It has infinitely many solutions

Answer:

Hello! The solution to this linear equation is 0 = 0. To find this solution:

Distribute -

8 - 2(4v+6) = -4 - 8v

8 - 8v - 12 = 14 - 8v

Subtract the numbers -

8 - 8v - 12 = -4 - 8v

-4 - 8v =  -4 - 8v

Rearrange terms -

-4 - 8v = -4 - 8v

-8v - 4 = -4 - 8v

Rearrange terms -

-8v - 4 = -4 - 8v

-8v - 4 = -8v - 4

Add 4 to both sides -

-84v - 4 = -8v - 4

-8v - 4 + 4 = -8v - 4 + 4

Simplify -

-8v - 4 + 4 = -8v - 4 + 4

-8v = -8v - 4 + 4

-8v = -8v

Add 8v to both sides -

-8v = -8v

-8v + 8v = -8v + 8v

Combine like terms and simplify -

-8v + 8v = -8v + 8v

0 = -8v + 8v

0 = 0

The solution is 0 = 0. This is an identity: it is true for all values.

Hope this helps! Have a great day.